Systems of explicit mathematics with non-constructive μ-operator and join

Annals of Pure and Applied Logic 82 (2):193-219 (1996)
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Abstract

The aim of this article is to give the proof-theoretic analysis of various subsystems of Feferman's theory T1 for explicit mathematics which contain the non-constructive μ-operator and join. We make use of standard proof-theoretic techniques such as cut-elimination of appropriate semiformal systems and asymmetrical interpretations in standard structures for explicit mathematics.

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